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Finding the Fourth Proportional to 1,394.12, 2,091.46 and 700.80

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Solution

The fourth proportional to 1,394.12, 2,091.46 and 700.80 is: 1,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.12 : 2,091.46 = 700.80 : x
  2. Step 2: Convert to fraction form
    1,394.12/2,091.46 = 700.80/x
  3. Step 3: Cross multiply
    1,394.12x = 2,091.46 × 700.80
  4. Step 4: Simplify right side
    1,394.12x = 1,465,695.17
  5. Step 5: Solve for x
    x = 1,465,695.17/1,394.12
  6. Step 6: Final answer
    x = 1,051.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.